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1830002352 = 24338125049
BaseRepresentation
bin110110100010011…
…1001111010110000
311201112110202021220
41231010321322300
512221440033402
6501331145040
763230522553
oct15504717260
94645422256
101830002352
11859a96942
12430a45180
13232196139
1413508669a
15aa9d2dbc
hex6d139eb0

1830002352 has 20 divisors (see below), whose sum is σ = 4727506200. Its totient is φ = 610000768.

The previous prime is 1830002333. The next prime is 1830002357. The reversal of 1830002352 is 2532000381.

1830002352 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1830002357) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19062477 + ... + 19062572.

It is an arithmetic number, because the mean of its divisors is an integer number (236375310).

Almost surely, 21830002352 is an apocalyptic number.

1830002352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1830002352 is an abundant number, since it is smaller than the sum of its proper divisors (2897503848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1830002352 is a wasteful number, since it uses less digits than its factorization.

1830002352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38125060 (or 38125054 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1830002352 is about 42778.5267628515. The cubic root of 1830002352 is about 1223.1617247138.

The spelling of 1830002352 in words is "one billion, eight hundred thirty million, two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 38125049 76250098 114375147 152500196 228750294 305000392 457500588 610000784 915001176 1830002352